Victoria, Shiyun and Gillian bought a souvenir for their niece. They shared the cost equally between them. Victoria used
25 of her savings, Shiyun used
15 of her savings and Gillian used
38 of her savings. Victoria and Gillian had $399 left. How much did each girl pay for the souvenir?
The amount spent by each girl is the same. Make the numerators the same.
LCM of 2, 1 and 3 = 6
2x35x3 of Victoria's savings =
1x65x6 of Shiyun's savings =
3x28x2 of Gillian savings
615 of Victoria's savings =
630 of Shiyun's savings =
616 of Gillian's savings
|
Victoria |
Shiyun |
Gillian |
Before |
15 u |
30 u |
16 u |
Change |
- 6 u |
- 6 u |
- 6 u |
After |
9 u |
24 u |
10 u |
Savings that Victoria had left
= 15 u - 6 u
= 9 u
Savings that Gillian had left
= 16 u - 6 u
= 10 u
Total savings that Victoria and Gillian had left
= 9 u + 10 u
= 19 u
19 u = 399
1 u = 399 ÷ 19 = 21
Amount that each girl paid
= 6 u
= 6 x 21
= $126
Answer(s): $126